Determine square roots of rational numbers

Lessons

• 1.
  Use the graph below to determine a rational number with a square root between 4 and 5.
  
  

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• 2.
  Use the side lengths below to estimate and calculate the area of each square.
  a)

  5.2 cm
  
  
  b)

  0.027 km
  
  

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• 3.
  Find out if each of the following rational numbers is a perfect square.
  a)

  $\frac{{81}}{{16}}$
  
  
  b)

  0.1
  
  
  c)

  0.01
  
  
  d)

  $\frac{5}{{14}}$
  
  

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• 4.
  Evaluate.
  a)

  $\sqrt {361}$
  
  
  b)

  $\sqrt {2209}$
  
  
  c)

  $\sqrt {0.0169}$
  
  
  d)

  $\sqrt {5.76}$
  
  

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• 5.
  Calculate.
  a)

  $\sqrt {56}$, to the nearest tenth
  
  
  b)

  $\sqrt {3.7}$, to the nearest hundredth
  
  
  c)

  $\sqrt {0.96}$ , to the nearest hundredth
  
  
  d)

  $\sqrt {0.066}$ , to the nearest hundredth
  
  

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